This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A383034 #16 Apr 13 2025 11:26:30
%S A383034 1,2,2,5,6,11,18,35,56,105,186,346,630,1179,2182,4115,7710,14588,
%T A383034 27594,52482,99858,190743,364722,699216,1342176,2581425,4971008,
%U A383034 9587574,18512790,35792449,69273666,134219795,260300986,505294125,981706806,1908881548,3714566310
%N A383034 Inverse Weigh transform of 2^(n-1).
%H A383034 Seiichi Manyama, <a href="/A383034/b383034.txt">Table of n, a(n) for n = 1..3000</a>
%H A383034 Christian G. Bower, <a href="https://oeis.org/transforms_pari.txt">PARI programs for transforms</a>, 2007.
%H A383034 N. J. A. Sloane, <a href="/transforms.txt">Maple programs for transforms</a>, 2001-2020.
%F A383034 a(n) = (1/n) * (2^n - 1 + Sum_{d<n and d|n} (-1)^(n/d) * d * a(d)).
%F A383034 a(n) = A306156(n) - A209229(n).
%F A383034 Product_{k>=1} (1 + x^k)^a(k) = (1 - x)/(1 - 2*x).
%Y A383034 Column k=2 of A383033.
%Y A383034 Cf. A000079, A209229, A306156.
%K A383034 nonn
%O A383034 1,2
%A A383034 _Seiichi Manyama_, Apr 13 2025